December 2020
Intermediate to advanced
1064 pages
49h 13m
English
Content preview from Advanced Engineering Mathematics, 7th Edition
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9.14 Stokes’ Theorem
INTRODUCTION
Green’s theorem of the preceding section has two vector forms. In this and in Section 9.16 we shall generalize these forms to three dimensions.
Vector Form of Green’s Theorem
If F(x, y) = P(x, y)i + Q(x, y)j is a two-dimensional vector field, then
From (12) and (13) of Section 9.8, Green’s theorem can be written in vector notation as
(1)
that is, the line integral of the tangential component of F is the double ...
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